By way of checking your understanding, try restating the problem in a different way. This involves making some choices about what strategies to use. A math class has 30 students. If you still don’t have any luck, talk the problem over with a classmate. This involves making some choices about what strategies to use.

Since length can be written in terms of width, we will let. The three consecutive integers are 85, 86, and Spend a reasonable amount of time trying to solve the problem using your plan. The next step, carry out the plan solve , is big. One number is 3 less than another number. Once the problem is read, you need to list all the components and data that are involved. How much would you save if you bought it at this sale?

Width is 3 inches.

For example, 5, 7, and 9 are three strps odd integers. Note that since the angles make up a straight line, they are supplementary to each other. A rectangular garden has a width that is 8 feet less than twice the length. The next step, carry out the plan solveis big.

# Polya’s four steps to solving a problem

Keep in mind that x is representing an ODD number and that the next odd number is 2 away, just like 7 is 2 away form 5, so we need to add 2 to the first odd number to get to the second consecutive odd number.

The two angles are 30 degrees and degrees. The number is We are looking for the length and width of the rectangle. The sum of 3 consecutive odd integers is If you are not successful, go back to step 2. In essence, decide how you are going to work on the problem.

# Polya’s four steps to solving a problem

If you need a review on these translations, you can go back to Tutorial 2: The next step, carry out the plan solveis big. Note that 7 is two more than 5, the first odd integer.

If we let x represent the first EVEN integer, how would we represent the second consecutive even integer in terms of x? For example, 5, 7, and 9 are three consecutive odd integers. Find the dimensions if the perimeter is 20 feet. By way of checking your understanding, try restating the problem in a different way.

How many students passed the last math test? Find the measure of each angle in the figure below.

## Polya’s Four Step Problem Solving Process

Read the problem over carefully and ask yourself: And what about the third consecutive integer. It will allow you to check and see if you have an understanding of these types of problems. How many students passed the last math test?

The following formula will come in handy for solving example 6: Width is 3 inches. Complimentary angles sum up to be 90 degrees. Spend a reasonable amount of time trying to solve the problem using your plan. Use variables and proglem an equation — the method of algebra. George Polyaa Hungarian mathematician, wrote “How to solivng it.

Read the problem over carefully and ask yourself: The perimeter of a rectangle with width of 3 inches and length of 10 inches does come out to be And what about the third consecutive even integer?

If you need help solving them, by all polyyas, go back to Tutorial 7: If you need a review on these translations, you can go back to Tutorial 2: